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FI-MO 2012 Problem 1

    A secant line splits a circle into two segments. Inside those segments, one draws two squares such that both squares has two corners on a secant line and two on the circumference. The ratio of the square's side lengths is 5:95:9 . Compute the ratio of the secant line versus circle radius.

    Dataset text AI-MO AoPS. Quoted with source.

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